Pith Number

pith:F4XRARJV

pith:2011:F4XRARJVI4IOWNF2DRXZHZDTAP

not attested not anchored not stored refs pending

Suprema of L\'{e}vy processes

Jacek Ma{\l}ecki, Mateusz Kwa\'snicki, Micha{\l} Ryznar

arxiv:1103.0935 v3 · 2011-03-04 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4XRARJVI4IOWNF2DRXZHZDTAP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:19:11.936041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2f1045354710eb34ba1c6f93e47303ce9da31083affacb800eda342f4cafc6

Aliases

arxiv: 1103.0935 · arxiv_version: 1103.0935v3 · doi: 10.48550/arxiv.1103.0935 · pith_short_12: F4XRARJVI4IO · pith_short_16: F4XRARJVI4IOWNF2 · pith_short_8: F4XRARJV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/F4XRARJVI4IOWNF2DRXZHZDTAP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2f2f1045354710eb34ba1c6f93e47303ce9da31083affacb800eda342f4cafc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7a35942e9361c17a48bba90f1eb68b58b13f759fbe01638f25fb45eddb6be85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-04T16:04:18Z",
    "title_canon_sha256": "34e6d0f58f3768a485cabb8f4bb398382d29cd69e9df520ee53181d64de92528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0935",
    "kind": "arxiv",
    "version": 3
  }
}